5757113600 has 216 divisors, whose sum is σ = 16451322048. Its totient is φ = 1953792000.

The previous prime is 5757113573. The next prime is 5757113603. The reversal of 5757113600 is 63117575.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5757113603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4793000 + ... + 4794200.

It is an arithmetic number, because the mean of its divisors is an integer number (76163528).

Almost surely, 2^5757113600 is an apocalyptic number.

5757113600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5757113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8225661024).

5757113600 is an abundant number, since it is smaller than the sum of its proper divisors (10694208448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5757113600 is a wasteful number, since it uses less digits than its factorization.

5757113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 35.

The square root of 5757113600 is about 75875.6456315200. The cubic root of 5757113600 is about 1792.2624243657.

The spelling of 5757113600 in words is "five billion, seven hundred fifty-seven million, one hundred thirteen thousand, six hundred".